IMC Trading Interview Questions

A drunk passenger boards an airplane and sits in a random seat. Each subsequent passenger sits in their assigned seat if it is available; otherwise, they choose a random unoccupied seat. What is the probability that the last passenger will be able to sit in their assigned seat?

Explain the Law of Large Numbers to someone with a non-STEM background. Also, explain one of the sorting algorithms to someone with a non-STEM background.

A fair coin is tossed repeatedly. What is the expected number of tosses required to first see the sequence 'HHH' (three consecutive heads)?

Explain a sorting algorithm to someone without a STEM background. Also, explain the law of large numbers to someone without a STEM background.